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Psychophysics try to relate physical input magnitudes to psychological orneural correlates. Microscopic models to account for macroscopic psychophysicallaws, in the sense of statistical physics, are an almost unexplored area. Herewe examine a sensory epithelium composed of two connected square lattices ofstochastic integrate-and-fire cells. With one square lattice we obtain aStevens's law $\rho \propto h^m$ with Stevens's exponent $m = 0.254$ and asigmoidal saturation, where $\rho$ is the neuronal network activity and $h$ isthe input intensity (external field). We relate Stevens's power law exponentwith the field critical exponent as $m = 1/\delta_h = \beta/\sigma$. We alsoshow that this system pertains to the Directed Percolation (DP) universalityclass (or perhaps the Compact-DP class). With stacked two layers of squarelattices, and a fraction of connectivity between the first and second layer, weobtain at the output layer $\rho_ 2 \propto h^{m_2}$, with $m_2 = 0.08 \approxm^2$, which corresponds to a huge dynamic range. This enhancement of thedynamic range only occurs when the layers are close to their critical point.

Physics of Psychophysics: two coupled square lattices of spiking neurons have huge dynamic range at criticality